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Finding the Third Proportional to 1,770,288,488 and 3,860,957,896

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Solution

The third proportional to 1,770,288,488 and 3,860,957,896 is: 8,420,659,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,288,488 : 3,860,957,896 = 3,860,957,896 : x
  2. Step 2: Convert to fraction form
    1,770,288,488/3,860,957,896 = 3,860,957,896/x
  3. Step 3: Cross multiply
    1,770,288,488x = 3,860,957,896 × 3,860,957,896
  4. Step 4: Simplify right side
    1,770,288,488x = 14,906,995,874,684,747,776
  5. Step 5: Solve for x
    x = 14,906,995,874,684,747,776/1,770,288,488
  6. Step 6: Final answer
    x = 8,420,659,104.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.